Applications of Combinatorics and Graph Theory to the Biological and Social Sciences

Overview

This volume is the Proceedings of a Workshop on the applications of Combinatorics and graph theory in the biological and social sciences, held at the Institute for Mathematics and its Applications in January 1988. Combinatorial and graph-theoretical methods are increasingly important in the biological and social sciences. The Workshop emphasized mathematical techniques and open problems arising in such fields as ecology, genetics, enzyme kinetics, economics, political science, ...

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Paperback (Softcover reprint of the original 1st ed. 1989)
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Overview

This volume is the Proceedings of a Workshop on the applications of Combinatorics and graph theory in the biological and social sciences, held at the Institute for Mathematics and its Applications in January 1988. Combinatorial and graph-theoretical methods are increasingly important in the biological and social sciences. The Workshop emphasized mathematical techniques and open problems arising in such fields as ecology, genetics, enzyme kinetics, economics, political science, sociology, and psychology.

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Editorial Reviews

Booknews
Contributions based on the proceedings of a workshop which was an integral part of the 1987-88 IMA program on applied combinatorics. No index. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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Product Details

  • ISBN-13: 9781468463835
  • Publisher: Springer New York
  • Publication date: 2/25/2012
  • Series: IMA Volumes in Mathematics and its Applications Series , #17
  • Edition description: Softcover reprint of the original 1st ed. 1989
  • Edition number: 1
  • Pages: 345
  • Product dimensions: 6.14 (w) x 9.21 (h) x 0.74 (d)

Table of Contents

Applications of Combinatorics and Graph Theory to the Biological and Social Sciences: Seven Fundamental Ideas.- Social Welfare and Aggregation Procedures: Combinatorial and Algorithmic Aspects.- Consecutive One’s Properties for Matrices and Graphs Including Variable Diagonal Entries.- Probabilistic Knowledge Spaces: A Review.- Uniqueness in Finite Measurement.- Conceptual Scaling.- The Micro-Macro Connection: Exact Structure and Process.- Sign-Patterns and Stability.- Food Webs, Competition Graphs, Competition-Common Enemy Graphs and Niche Graphs.- Qualitatively Stable Matrices and Convergent Matrices.- Tree Structures in Immunology.- Meaningless Statements, Matching Experiments, and Colored Digraphs (Applications of Graph Theory and Combinatorics to the Theory of Measurement.- Combinatorial Aspects of Enzyme Kinetics.- Spatial Models of Power and Voting Outcomes.- Some Mathematics for DNA Restriction Mapping.

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